The Basics of Differential Equations

In this lesson, see how to verify implicit solutions, find explicit solutions, and define appropriate intervals of definition for challenging ODEs.

In this lesson, get a brief review of general antiderivatives in integral calculus, and then explore the concepts associated with families of solutions.

In this lesson, learn how to verify general solutions, also known as nth parameter family of solutions, of ordinary differential equations (ODEs).

In this lesson, Math Fortress explains how to verify implicit one-parameter families of solutions using two differential equations and solutions as examples.

With an in-depth example, learn how to verify a particular solution of the one-parameter family of solutions with a piecewise defined solution.